414000013013300 has 216 divisors, whose sum is σ = 1092084115309824. Its totient is φ = 133344265582080.

The previous prime is 414000013013267. The next prime is 414000013013351. The reversal of 414000013013300 is 3310310000414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12278597 + ... + 31285203.

Almost surely, 2^{414000013013300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414000013013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546042057654912).

414000013013300 is an abundant number, since it is smaller than the sum of its proper divisors (678084102296524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414000013013300 is a wasteful number, since it uses less digits than its factorization.

414000013013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19006723 (or 19006687 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 414000013013300 its reverse (3310310000414), we get a palindrome (417310323013714).

The spelling of 414000013013300 in words is "four hundred fourteen trillion, thirteen million, thirteen thousand, three hundred".